Dynamics and Control of a Quasi-1D Spin System

Abstract

We study experimentally a system comprised of linear chains of spin-1/2 nuclei that provides a test-bed for multi-body dynamics and quantum information processing. This system is a paradigm for a new class of quantum information devices that can perform particular tasks even without universal control of the whole quantum system. We investigate the extent of control achievable on the system with current experimental apparatus and methods to gain information on the system state, when full tomography is not possible and in any case highly inefficient.

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Cited by in corpus (42)

• Quantum Computing with NMR
• Simulations of Information Transport in Spin Chains
• NMR quantum simulation of localization effects induced by decoherence
• Robustness of spin-coupling distributions for perfect quantum state transfer
• Probing many-body dynamics in a two dimensional dipolar spin ensemble
• General Features of the Relaxation Dynamics of Interacting Quantum Systems
• Coherent state transfer via highly mixed quantum spin chains
• Optimized dynamical control of state transfer through noisy spin chains
• Experimental characterization of coherent magnetization transport in a one-dimensional spin system
• Quantum simulation via filtered Hamiltonian engineering: application to perfect quantum transport in spin networks
• Effective one-body dynamics in multiple-quantum NMR experiments
• Adiabatic Quantum Transport in a Spin Chain with a Moving Potential
• NMR multiple quantum coherences in quasi-one-dimensional spin systems: Comparison with ideal spin-chain dynamics
• Transport and Control in One-Dimensional Systems
• Transport of Quantum Correlations across a spin chain
• Perfect state transfers by selective quantum interferences within complex spin networks
• Localization effects induced by decoherence in superpositions of many-spin quantum states
• Multiple quantum NMR dynamics of spin-1/2 carrying molecules of a gas in nanopores
• Disorder-assisted distribution of entanglement in $XY$ spin chains
• Experimental realization of the Yang-Baxter Equation via NMR interferometry
• The Loschmidt Echo as a robust decoherence quantifier for many-body systems
• Decay of spin coherences in one-dimensional spin systems
• Quasi-soliton scattering in quantum spin chains
• Transport Control in Low-Dimensional Spin-1/2 Heisenberg Systems
• Quantum Data Bus in Dipolar Coupled Nuclear Spin Qubits
• Simulation of mirror inversion of quantum states in an XY spin chain using NMR
• Controlled quantum state transfer in $XX$ spin chains at the Quantum Speed Limit
• Decoherence as attenuation of mesoscopic echoes in a spin-chain channel
• Initialization and Readout of Spin Chains for Quantum Information Transport
• Pretty good quantum state transfer on isotropic and anisotropic Heisenberg spin chains with tailored site dependent exchange couplings
• Optimal Control in Disordered Quantum Systems
• Free induction decays in nuclear spin-1/2 lattices with small number of interacting neighbors: the cases of silicon and fluorapatite
• Non-perturbative Dynamical Decoupling Control: A Spin Chain Model
• Robustness of spin-chain state-transfer schemes
• Statistics of a quantum-state-transfer Hamiltonian in the presence of disorder
• Understanding the propagation of excitations in quantum spin chains with different kind of interactions
• Non-Markovian decay and dynamics of decoherence in private and public environments
• M-neighbor approximation in one-qubit state transfer along zigzag and alternating spin-1/2 chains
• Global Out of Time Order Correlators as a Signature of Scrambling Dynamics of Local Observables
• One-excitation spin dynamics in homogeneous closed chain governed by XX-Hamiltonian
• Experimental and theoretical investigations of quantum state transfer and decoherence processes in quasi-one-dimensional systems in multiple-quantum NMR experiments
• Exact solution of a family of staggered Heisenberg chains with conclusive pretty good quantum state transfer